Quantum Hall Systems
Braid Groups, Composite Fermions and Fractional Charge
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Quantum Hall Systems by Lucjan Jacak
Book DescriptionThis book presents the wide range of topics in two-dimensional physics of quantum Hall systems, especially fractional quantum Hall states. It covers the fundamental problems of two-dimensional quantum statistics in terms of topology and the corresponding braid group formalism for composite fermions, and the main formalism used in many-body quantum Hall theories, the Chern-Simons theory. Numerical studies are introduced for spherical systems and the composite fermion theory is tested. The book introduces the concept of the heirarchy of condensed states, the BCS paired Hall state, and multi-component quantum Hall systems and spin quantum Hall systems.
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Book DetailsISBN: 9780198528708
(242mm x 162mm x 13mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 25-Sep-2003
Country of Publication: United Kingdom
Books By Author Lucjan Jacak
Application of Braid Groups in 2D Hall System Physics, Hardback (September 2012)» View all books by Lucjan Jacak
Reports the progress in topological approach to Hall system physics, including achievements in graphene. In this title, the crucial significance of carrier mobility apart from interaction in creation of the fractional quantum Hall effect (FQHE) is described and supported by various graphene experiments.
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Author Biography - Lucjan Jacak
Arkadiusz Wojs is an assistant professor at the Institute of Physics, Wroclaw University of Technology. He received three awards during 1996-1998.
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